| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
Which of the following is not true about both rectangles and squares?
the area is length x width |
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the lengths of all sides are equal |
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the perimeter is the sum of the lengths of all four sides |
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all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
Solve 2a - 4a = 6a + 8x - 2 for a in terms of x.
| 2\(\frac{1}{8}\)x + \(\frac{3}{4}\) | |
| 15x + 1 | |
| -3x + \(\frac{1}{2}\) | |
| 1\(\frac{5}{8}\)x + \(\frac{3}{4}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
2a - 4x = 6a + 8x - 2
2a = 6a + 8x - 2 + 4x
2a - 6a = 8x - 2 + 4x
-4a = 12x - 2
a = \( \frac{12x - 2}{-4} \)
a = \( \frac{12x}{-4} \) + \( \frac{-2}{-4} \)
a = -3x + \(\frac{1}{2}\)
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
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intersects |
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trisects |
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bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
If a = 5, b = 2, c = 5, and d = 7, what is the perimeter of this quadrilateral?
| 21 | |
| 23 | |
| 19 | |
| 15 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 2 + 5 + 7
p = 19
If BD = 13 and AD = 15, AB = ?
| 2 | |
| 15 | |
| 8 | |
| 12 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD